1 blue eyed person- He know's nothing, nothing happens
2 blue eyed people- Each thinks the other could be the only blue but they don't know it... deadlock.
3 blue eyed people- Each thinks the other two are caught in the 2 person deadlock scenario knowing nothing.
4 blue eyed people- Each thinks the other 3 are caught in the 3 person scenario etc...
Once the foreigner adds the knowledge:
1- he'd leave the first day
2- the second would recognize the first didn't leave, they'd both leave on day 2
3- the third would recognize the first two didn't leave on day 2, etc, etc, we were wrong...bollocks.
1 blue eyed person- He know's nothing, nothing happens
2 blue eyed people- Each thinks the other could be the only blue but they don't know it... deadlock.
3 blue eyed people- Each thinks the other two are caught in the 2 person deadlock scenario knowing nothing.
4 blue eyed people- Each thinks the other 3 are caught in the 3 person scenario etc...
Once the foreigner adds the knowledge:
1- he'd leave the first day
2- the second would recognize the first didn't leave, they'd both leave on day 2
3- the third would recognize the first two didn't leave on day 2, etc, etc, we were wrong...bollocks.